Multiplying Mixed Fractions Calculator
Fractions are defined as the parts of a whole and can be represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where, the whole can be any number, a specific value, or a thing.
What is Multiplying Mixed Fractions Calculator?
'Multiplying Mixed Fractions Calculator' is an online tool that helps to calculate the product of two given mixed fractions. Online Multiplying Mixed Fractions Calculator helps you to calculate the product of two mixed fractions within a few seconds.
Multiplying Mixed Fractions Calculator
NOTE: Enter up to 2 digits in each input box.
How to Use Multiplying Mixed Fractions Calculator?
Please follow the steps below on how to use the calculator:
- Step1: Enter the two mixed fractions in the given input boxes.
- Step2: Click on the "Multiply" button to find the product of two mixed fractions
- Step3: Click on the "Reset" button to clear the fields and enter the new values.
How to Find Product of Two Mixed Fractions?
A mixed fraction is defined as a fraction represented as a combination of a whole and a proper fraction.
A mixed fraction is represented as \(a\frac{b}{c}\) = \(\frac{(a × c) + b}{c}\)
Please follow the below steps to find the multiplication of two mixed fractions:
- Step 1: Convert the mixed fractions into improper fractions.
- Step 2: Now multiply the values of numerators after converting them into improper fractions.
- Step 3: Now multiply the values of denominators after converting them into improper fractions and express the fraction in its simplest form.
Solved Examples on Multiplying Mixed Fractions Calculator
Example 1:
Multiply \(5 \frac{2}{3}\) and \(2 \frac{5}{4} \)
Solution:
We first convert the mixed fractions into improper fractions.
\(5 \frac{2}{3}\)= \(\frac{(5×3)+2}{3}\) = \(\frac{17}{3}\)
\(2 \frac{5}{4} \) = \(\frac{(2×4)+5}{4}\)= \(\frac{13}{4}\)
= \(\frac{(17 × 13)}{3 × 4}\)
= \(\frac{221}{12}\)
Example 2:
Multiply \(7 \frac{3}{6}\) and \(4 \frac{8}{5} \)
Solution:
We first convert the mixed fractions into improper fractions.
\(7 \frac{3}{6}\)= \(\frac{(6×7)+3}{6}\) = \(\frac{45}{6}\)
\(4 \frac{8}{5} \) = \(\frac{(5×4)+8}{5}\)= \(\frac{28}{5}\)
= \(\frac{(45 × 28)}{6 × 5}\)
= 42
Similarly, you can try the calculator and find the product for the following mixed fractions:
- \(2 \frac{5}{4}\) and \(3 \frac{8}{4}\)
- \(3 \frac{8}{7}\) and \(4 \frac{3}{5}\)